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Worlds and times. (English) Zbl 1107.03014

Summary: There are many parallels between the role of possible worlds in modal logic and that of times in tense logic. But the similarities only go so far, and it is important to note where the two come apart. This paper argues that even though worlds and times play similar roles in the model theories of modal and tense logic, there is no tense analogue of the possible-worlds analysis of modal operators. An important corollary of this result is that presentism cannot be the tense analogue of actualism.

MSC:

03B44 Temporal logic
03B45 Modal logic (including the logic of norms)
03C80 Logic with extra quantifiers and operators
Full Text: DOI

References:

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